Sadly, your commitment to this goal is not enough, unless you also have a guarantee that someone will publish your results even if they are statistically insignificant (and thus tell us absolutely nothing). I admit I've never tried to publish something, but I doubt that many journals would actually do that. If they did the result would be a journal rendered almost unreadable by the large percentage of studies it describes with no significant outcome, and would remain unread.

If your study doesn't prove either hypothesis, or possibly even if it proves the null hypothesis and that's not deemed to be very enlightening, I expect you'll try and fail to get it published. If you prove the alternative hypothesis, you'll probably stand a fair chance at publication. Publication bias is a result of the whole system, not just the researchers' greed.

The only way I can imagine a study that admits that it didn't prove anything could get publication is if it was conducted by an individual or group too important to ignore even when they're not proving anything. Or if there's so few studies to choose from that they can't pick and choose the important ones, although fields like that would probably just publish fewer journals less frequently.